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Function Spaces and Potential Theory: 314 (Grundlehren der mathematischen Wissenschaften, 314) - Softcover

 
9783642081729: Function Spaces and Potential Theory: 314 (Grundlehren der mathematischen Wissenschaften, 314)

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"..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." Proceedings of the Edinburgh Mathematical Society

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  • PublisherSpringer
  • Publication date2010
  • ISBN 10 364208172X
  • ISBN 13 9783642081729
  • BindingPaperback
  • LanguageEnglish
  • Number of pages379

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Adams, David R. and Hedberg, Lars Inge
ISBN 10: 364208172X ISBN 13: 9783642081729
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Softcover. Second Printing, Corrected. Octavo, viii, xi, 366 pages. In Very Good condition. Paperback binding. Spine yellow with dark blue lettering. Covers have very minimal wear. Text block has extremely faint wear to the edges. Second printing, corrected. NOTE: Shelved in Netdesk Column H, ND-H. 1379090. FP New Rockville Stock. Seller Inventory # 1379090

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -'.carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included.will certainly be a primary source that I shall turn to.' Proceedings of the Edinburgh Mathematical Society 384 pp. Englisch. Seller Inventory # 9783642081729

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Function spaces, especially those spaces that have become known as Sobolev spaces, and their natural extensions, are now a central concept in analysis. In particular, they play a decisive role in the modem theory of partial differential equations (PDE). Potential theory, which grew out of the theory of the electrostatic or gravita tional potential, the Laplace equation, the Dirichlet problem, etc. , had a fundamen tal role in the development of functional analysis and the theory of Hilbert space. Later, potential theory was strongly influenced by functional analysis. More re cently, ideas from potential theory have enriched the theory of those more general function spaces that appear naturally in the study of nonlinear partial differential equations. This book is motivated by the latter development. The connection between potential theory and the theory of Hilbert spaces can be traced back to C. F. Gauss [181], who proved (with modem rigor supplied almost a century later by O. Frostman [158]) the existence of equilibrium potentials by minimizing a quadratic integral, the energy. This theme is pervasive in the work of such mathematicians as D. Hilbert, Ch. -J. de La Vallee Poussin, M. Riesz, O. Frostman, A. Beurling, and the connection was made particularly clear in the work of H. Cartan [97] in the 1940's. In the thesis of J. Deny [119], and in the subsequent work of J. Deny and J. L. Seller Inventory # 9783642081729

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. .carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included.will certainly be a primary source that I shall turn to. Proceedings of the Edinburgh Mathematical Society|Function spaces, especially those . Seller Inventory # 5047219

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